106380 has 48 divisors (see below), whose sum is σ = 332640. Its totient is φ = 28224.

The previous prime is 106373. The next prime is 106391. The reversal of 106380 is 83601.

It is a super-2 number, since 2×106380² = 22633408800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is an unprimeable number.

106380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2¹⁰⁶³⁸⁰ is an apocalyptic number.

106380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

106380 is an abundant number, since it is smaller than the sum of its proper divisors (226260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106380 is a wasteful number, since it uses less digits than its factorization.

106380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106380 is about 326.1594701982. The cubic root of 106380 is about 47.3827208289.

Adding to 106380 its reverse (83601), we get a palindrome (189981).

The spelling of 106380 in words is "one hundred six thousand, three hundred eighty".